100112197185 has 384 divisors, whose sum is σ = 245389824000. Its totient is φ = 38371656960.

The previous prime is 100112197151. The next prime is 100112197223. The reversal of 100112197185 is 581791211001.

It is not a de Polignac number, because 100112197185 - 2¹² = 100112193089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86080414 + ... + 86081576.

It is an arithmetic number, because the mean of its divisors is an integer number (639036000).

Almost surely, 2^100112197185 is an apocalyptic number.

100112197185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100112197185 is an abundant number, since it is smaller than the sum of its proper divisors (145277626815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100112197185 is a wasteful number, since it uses less digits than its factorization.

100112197185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 36.

The spelling of 100112197185 in words is "one hundred billion, one hundred twelve million, one hundred ninety-seven thousand, one hundred eighty-five".